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3 years ago

A hyperbola centered at the origin has a vertex at (3, 0) and a focus of the hyperbola is located at (9,0). What are

Mathematics

1 answer:

MariettaO [177]3 years ago

5 0

Answer:

Step-by-step explanation:

x²/a² - y²/b² = 1

center (0,0)

vertex (3,0), so a = 3

focus (9,0)

e = 9/a = 3

directrices: x = ±a/e = ±1

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Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below

Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated $(6.34\times 10^{-7})(4.5\times 10^3)$ . His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - $(6.34\times 10^{-7})(4.5\times 10^3)$

Step 2 - $(6.34\times 4.5)(10^{-7}\times 10^3)$

Step 3 - $(28.53)(10^{-4})$

Step 4 - $28.53\times 10^{4}$

Error is the step as 4 sign is negative.

So correct step is $28.53\times 10^{-4}$

Step 5 - $28.53\times 10^{3}$

Error is the step as there is 4 in place of 3.

So correct step is $28.53\times 10^{-4}$

The step 4 and 5 describe the errors Stephen made.

7 0

3 years ago

Read 2 more answers

Circle P has a circumference of approximately 75 inches.

photoshop1234 [79]

Answer:

12in is you answer

Step-by-step explanation:

The formula to find circumference is $C=2\pi r$

so to rearrange to solve for radius that will be $r=\frac{C}{2\pi }$

= $\frac{75}{2\pi }$

=11.94in

5 0

3 years ago

My brothers and sisters i need help asap please

Otrada [13]

Answer:

Step-by-step explanation:

I think it is D but I am not sure

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3 years ago

A biologist uses a box-shaped fish trap that measures 1/4meter by 2/3meter by 3/5meter. What is the volume of the trap in the cu

Travka [436]

To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it:

(1/4 m)* (2/3 m)* (3/5 m)

= (1*2*3)/ (4*3*5) m^(3)

= 6/ 60 m^(3)

= 1/10 m^(3)

= 0.1 m^(3)

The volume of the box-shaped fish trap is 0.1 m^(3).

Hope this is helpful~

7 0

3 years ago

The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length

valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall = 10+2x

Since , Area of rectangle = length x width

Then, as per given,

$252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9$

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

7 0

4 years ago